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Simplifying 22 = 41 + -4(5 + -4w) 22 = 41 + (5 * -4 + -4w * -4) 22 = 41 + (-20 + 16w) Combine like terms: 41 + -20 = 21 22 = 21 + 16w Solving 22 = 21 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 22 + -16w = 21 + 16w + -16w Combine like terms: 16w + -16w = 0 22 + -16w = 21 + 0 22 + -16w = 21 Add '-22' to each side of the equation. 22 + -22 + -16w = 21 + -22 Combine like terms: 22 + -22 = 0 0 + -16w = 21 + -22 -16w = 21 + -22 Combine like terms: 21 + -22 = -1 -16w = -1 Divide each side by '-16'. w = 0.0625 Simplifying w = 0.0625
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